A novel approach of fractional-order time delay system modeling based on Haar wavelet

Kothari, Kajal and Mehta, Utkal V. and Vanualailai, Jito (2018) A novel approach of fractional-order time delay system modeling based on Haar wavelet. ISA Transactions, 80 . pp. 371-380. ISSN 0019-0578

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Abstract

In this paper, fractional-order time delay system modeling is presented using Haar wavelet operational matrix of integration. Therefore, it does not require any prior knowledge of transfer function structure or partial information about fractional differentiation order. It allows the estimation of the implicit time delay parameter together with other model parameters by utilizing new delay operational matrix of Haar wavelet based on Riemann-Liouville definition. The proposed technique reduces the complexity of identification by converting the complex fractional calculus equations into simple algebra. The efficacy of the approach is verified on various integer and non-integer (fractional) order systems in simulation. For realistic condition, proposed method is verified in the presence of noise in simulation and also demonstrated on the real-time process control temperature system.

Item Type:	Journal Article
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences Faculty of Science, Technology and Environment (FSTE) > School of Engineering and Physics
Depositing User:	Utkal Mehta
Date Deposited:	30 Aug 2018 02:13
Last Modified:	04 Nov 2019 00:48
URI:	https://repository.usp.ac.fj/id/eprint/10936

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